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Finding the Third Proportional to 1,805,609,940 and 2,542,696,683

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Solution

The third proportional to 1,805,609,940 and 2,542,696,683 is: 3,580,677,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,609,940 : 2,542,696,683 = 2,542,696,683 : x
  2. Step 2: Convert to fraction form
    1,805,609,940/2,542,696,683 = 2,542,696,683/x
  3. Step 3: Cross multiply
    1,805,609,940x = 2,542,696,683 × 2,542,696,683
  4. Step 4: Simplify right side
    1,805,609,940x = 6,465,306,421,739,202,560
  5. Step 5: Solve for x
    x = 6,465,306,421,739,202,560/1,805,609,940
  6. Step 6: Final answer
    x = 3,580,677,242.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.